{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* summary: 第四章实验的代码\n",
    "* author: Mr. GAO\n",
    "* date：2022-9-16\n",
    "\n",
    "* 数据表头说明：\n",
    "    * city：城市名\n",
    "    * longitude：经度\n",
    "    * latitude：维度\n",
    "**********"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 加载数据，并展示数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 读入原始数据，拆分解释变量（经度longitude、维度latitude）和响应变量（城市名）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>city</th>\n",
       "      <th>longitude</th>\n",
       "      <th>latitude</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>北京</td>\n",
       "      <td>116.28</td>\n",
       "      <td>39.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>天津</td>\n",
       "      <td>117.11</td>\n",
       "      <td>39.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>哈尔滨</td>\n",
       "      <td>126.41</td>\n",
       "      <td>45.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>沈阳</td>\n",
       "      <td>123.24</td>\n",
       "      <td>41.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>石家庄</td>\n",
       "      <td>114.28</td>\n",
       "      <td>38.02</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  city  longitude  latitude\n",
       "0   北京     116.28     39.54\n",
       "1   天津     117.11     39.09\n",
       "2  哈尔滨     126.41     45.45\n",
       "3   沈阳     123.24     41.50\n",
       "4  石家庄     114.28     38.02"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "raw_datas = pd.read_excel('./Data/cities.xlsx', engine='openpyxl', sheet_name='Sheet1')\n",
    "city_names = raw_datas['city']                   # 城市名称\n",
    "city_longitude = raw_datas['longitude']          # 城市的经度\n",
    "city_latitude = raw_datas['latitude']            # 城市的维度\n",
    "raw_datas.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 使用matplotlib图，将各城市按照经纬度在二维坐标系中显示出来"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] # 设置字体为细黑，使matplotlib中能正常显示中文\n",
    "plt.rcParams['axes.unicode_minus'] = False   # 用来正常显示负号\n",
    "plt.scatter(city_longitude, city_latitude)\n",
    "\n",
    "\"\"\"给每个城市的经纬度点标注城市名称\"\"\"\n",
    "for i in range(len(city_longitude)):\n",
    "    plt.annotate(city_names[i], \n",
    "                xy=(city_longitude[i], \n",
    "                city_latitude[i]), \n",
    "                xytext=(city_longitude[i]+0.1, \n",
    "                city_latitude[i]+0.1))\n",
    "\n",
    "plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-means聚类"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* K-means聚类的初始化设置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "K = 2                      # 最终聚类的个数\n",
    "loop_count = 100           # 循环次数\n",
    "\n",
    "# 按照经纬度，每个城市转化成一个向量点\n",
    "city_points_array = np.stack([city_longitude, city_latitude], axis=1)\n",
    "# 在小于城市数内随机选择K个数，作为初始中心城市的序号\n",
    "center_index = np.random.choice(len(city_points_array), size=K)          \n",
    "# 选K个中心城市作为初始化的聚类中心\n",
    "center_coordinates = city_points_array[center_index] "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 进行loop_count轮K-means聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(loop_count):\n",
    "    # 初始化一个长度为K的字典，用于存放聚到K个类的城市，每次迭代都会更新\n",
    "    cities_set = {key:[] for key in range(K)}  \n",
    "\n",
    "    for city_point in city_points_array:\n",
    "        # 计算当前城市的点与中心城市点的距离，然后将距离小的那个序号返回\n",
    "        nearest_index = np.argmin(np.sum((center_coordinates - city_point)**2, axis=1)**0.5)  \n",
    "        cities_set[nearest_index].append(city_point)\n",
    "    \n",
    "    # 重新计算每个聚类的中心点\n",
    "    for k_index, p_set in cities_set.items():\n",
    "        p_longitudes = [p[0] for p in p_set]\n",
    "        p_latitudes = [p[1] for p in p_set]\n",
    "        center_coordinates[k_index, 0] = sum(p_longitudes) / len(p_longitudes)\n",
    "        center_coordinates[k_index, 1] = sum(p_latitudes) / len(p_latitudes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* matplotlib输出最终的K-means聚类结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0,y0=zip(*cities_set[0])\n",
    "plt.scatter(x0, y0, color='red',marker='^')     # 为第0个聚类的城市描点\n",
    "x1,y1=zip(*cities_set[1])\n",
    "plt.scatter(x1, y1, color='blue',marker='.')    # 为第1个聚类的城市描点\n",
    "\n",
    "# 给所有的描点标注城市名\n",
    "for i in range(len(city_names)):\n",
    "    plt.annotate(city_names[i], \n",
    "                 xy=(city_longitude[i],city_latitude[i]), \n",
    "                 xytext=(city_longitude[i]+0.1,city_latitude[i]+0.1))\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.9.13 ('ai_txtbook')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "3f7851e38dce13968630152acfada13e17192bdc676945d7b675298112638bc3"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
